85687488000 has 240 divisors, whose sum is σ = 308632340016. Its totient is φ = 22849843200.

The previous prime is 85687487999. The next prime is 85687488049. The reversal of 85687488000 is 88478658.

85687488000 is a `hidden beast` number, since 8 + 568 + 74 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501619 + ... + 650381.

Almost surely, 2^85687488000 is an apocalyptic number.

85687488000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85687488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154316170008).

85687488000 is an abundant number, since it is smaller than the sum of its proper divisors (222944852016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85687488000 is a wasteful number, since it uses less digits than its factorization.

85687488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148802 (or 148773 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 85687488000 in words is "eighty-five billion, six hundred eighty-seven million, four hundred eighty-eight thousand".